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A Fast, Bandlimited Solver for Scattering Problems in Inhomogeneous Media

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Author

Summary, in English

The numerical treatment of two-dimensional scattering in inhomogeneous media is considered. A novel approach in treating convolution operators with low regularity is used to construct an iterative solver for the Lippmann-Schwinger integral equation. In this way, accurate approximations within a choice of bandwidth can be obtained in a rapid manner. The performance of the method is tested on a discontinuous scattering object for which the exact solution is known.

Department/s

Publishing year

2005

Language

English

Pages

471-487

Publication/Series

Journal of Fourier Analysis and Applications

Volume

11

Issue

4

Document type

Journal article

Publisher

Springer

Topic

  • Mathematical Analysis

Keywords

  • fast algorithms
  • Lippmann-Schwinger equation
  • Helmholtz equation

Status

Published

Research group

  • Harmonic Analysis and Applications
  • Partial differential equations

ISBN/ISSN/Other

  • ISSN: 1531-5851